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Finding the Fourth Proportional to 9,409.43, 14,104.94 and 5,251.43

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Solution

The fourth proportional to 9,409.43, 14,104.94 and 5,251.43 is: 7,872.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.43 : 14,104.94 = 5,251.43 : x
  2. Step 2: Convert to fraction form
    9,409.43/14,104.94 = 5,251.43/x
  3. Step 3: Cross multiply
    9,409.43x = 14,104.94 × 5,251.43
  4. Step 4: Simplify right side
    9,409.43x = 74,071,114.07
  5. Step 5: Solve for x
    x = 74,071,114.07/9,409.43
  6. Step 6: Final answer
    x = 7,872.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.